| Base | Representation |
|---|---|
| bin | 1100101100101… |
| … | …00000001110100 |
| 3 | 21102102101200102 |
| 4 | 12112110001310 |
| 5 | 204231400000 |
| 6 | 14322533232 |
| 7 | 2432225033 |
| oct | 626240164 |
| 9 | 242371612 |
| 10 | 106512500 |
| 11 | 5513a466 |
| 12 | 2b807218 |
| 13 | 190b3b63 |
| 14 | 1020871a |
| 15 | 953e3d5 |
| hex | 6594074 |
106512500 has 36 divisors (see below), whose sum is σ = 233008524. Its totient is φ = 42600000.
The previous prime is 106512491. The next prime is 106512509. The reversal of 106512500 is 5215601.
It is an interprime number because it is at equal distance from previous prime (106512491) and next prime (106512509).
It can be written as a sum of positive squares in 6 ways, for example, as 88585744 + 17926756 = 9412^2 + 4234^2 .
It is a super-2 number, since 2×1065125002 = 22689825312500000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106512509) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8240 + ... + 16760.
It is an arithmetic number, because the mean of its divisors is an integer number (6472459).
Almost surely, 2106512500 is an apocalyptic number.
106512500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116504262).
106512500 is an abundant number, since it is smaller than the sum of its proper divisors (126496024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106512500 is an frugal number, since it uses more digits than its factorization.
106512500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8550 (or 8528 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 20.
The square root of 106512500 is about 10320.4893294843. The cubic root of 106512500 is about 474.0238494412.
The spelling of 106512500 in words is "one hundred six million, five hundred twelve thousand, five hundred".
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